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Finding the Third Proportional to 811,434 and 1,261,401

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Solution

The third proportional to 811,434 and 1,261,401 is: 1,960,889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,434 : 1,261,401 = 1,261,401 : x
  2. Step 2: Convert to fraction form
    811,434/1,261,401 = 1,261,401/x
  3. Step 3: Cross multiply
    811,434x = 1,261,401 × 1,261,401
  4. Step 4: Simplify right side
    811,434x = 1,591,132,482,801
  5. Step 5: Solve for x
    x = 1,591,132,482,801/811,434
  6. Step 6: Final answer
    x = 1,960,889.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.